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Finding the Third Proportional to 80,360,012 and 174,419,386

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Solution

The third proportional to 80,360,012 and 174,419,386 is: 378,572,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360,012 : 174,419,386 = 174,419,386 : x
  2. Step 2: Convert to fraction form
    80,360,012/174,419,386 = 174,419,386/x
  3. Step 3: Cross multiply
    80,360,012x = 174,419,386 × 174,419,386
  4. Step 4: Simplify right side
    80,360,012x = 30,422,122,212,616,996
  5. Step 5: Solve for x
    x = 30,422,122,212,616,996/80,360,012
  6. Step 6: Final answer
    x = 378,572,892.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.